Common Fixed Point of Interpolative Hardy-Rogers Pair Contraction on Partial Fuzzy Metric Spaces

Authors

  • Heena Soni Department of Mathematics, Govt. V.Y.T. PG Autonomous College (affiliated to Hemchand Yadav Vishwavidyalaya), Durg 491001, Chattisgrah, India
  • Prachi Singh Department of Mathematics, Govt. V.Y.T. PG Autonomous College (affiliated to Hemchand Yadav Vishwavidyalaya), Durg 491001, Chattisgrah, India
  • Shobha Rani Department of Mathematics, Govt. V.Y.T. PG Autonomous College (affiliated to Hemchand Yadav Vishwavidyalaya), Durg 491001, Chattisgrah, India

DOI:

https://doi.org/10.26713/jims.v18i1.3391

Keywords:

Fuzzy metric space, Interpolative Hardy-Rogers pair contractions, Partial fuzzy metric space, Fixed point

Abstract

In this paper, we introduce and study a new class of fuzzy interpolative Hardy-Rogers type contractions for a pair of self-mappings in the setting of complete partial fuzzy metric spaces. We establish a common fixed point theorem for such pairs and prove the uniqueness of the common fixed point under suitable conditions. An illustrative example is provided to demonstrate the validity and applicability of the main results.

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References

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Published

March 31, 2026

Issue

Vol. 18 No. 1 (2026)

Section

Research Article

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How to Cite

Soni, H., Singh, P., & Rani, S. (2026). Common Fixed Point of Interpolative Hardy-Rogers Pair Contraction on Partial Fuzzy Metric Spaces. Journal of Informatics and Mathematical Sciences, 18(1), 13-25. https://doi.org/10.26713/jims.v18i1.3391